Base | Representation |
---|---|
bin | 10001001010110… |
… | …01010101100000 |
3 | 101001000000102220 |
4 | 20211121111200 |
5 | 243332131312 |
6 | 22142511040 |
7 | 3366104544 |
oct | 1045312540 |
9 | 331000386 |
10 | 144020832 |
11 | 74328a8a |
12 | 40295480 |
13 | 23ab7537 |
14 | 151ada24 |
15 | c99cc8c |
hex | 8959560 |
144020832 has 48 divisors (see below), whose sum is σ = 378705600. Its totient is φ = 47924352.
The previous prime is 144020827. The next prime is 144020837. The reversal of 144020832 is 238020441.
It is an interprime number because it is at equal distance from previous prime (144020827) and next prime (144020837).
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144020837) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83919 + ... + 85617.
It is an arithmetic number, because the mean of its divisors is an integer number (7889700).
Almost surely, 2144020832 is an apocalyptic number.
144020832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
144020832 is an abundant number, since it is smaller than the sum of its proper divisors (234684768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144020832 is a wasteful number, since it uses less digits than its factorization.
144020832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2595 (or 2587 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 144020832 is about 12000.8679686096. The cubic root of 144020832 is about 524.1735532178.
The spelling of 144020832 in words is "one hundred forty-four million, twenty thousand, eight hundred thirty-two".
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